Calculate the power of a number or extract the root of any power online. A simple and accurate calculator with formulas.
Calculate the power of a number or extract the root of any power online. A simple and accurate calculator with formulas.
Online calculator for calculating powers of numbers and extracting roots of any degree. An easy-to-use tool with automatic calculation using mathematical formulas. Suitable for students, engineers and anyone who needs to quickly calculate the power or root of a number.
Our exponents and roots calculator supports all basic mathematical operations with exponents and roots. Whether you are an algebra student, an engineer working on technical calculations, or just need to calculate the power of a number, this tool provides accurate results instantly.
Let's look at various examples of using the powers and roots calculator:
The square of 5 is 25
The cube of number 3 is 27
The number 2 to the fourth power is 16
The number 2 to the power -3 is 0.125
The number 8 to the power of 1/3 is 2
The square root of 16 is 4, since 4² = 16
The cube root of 27 is 3 since 3³ = 27
The fourth root of 81 is 3, since 3⁴ = 81
The fifth root of 32 is 2, since 2⁵ = 32
The square root of 0.25 is 0.5, since 0.5² = 0.25
Select the calculation mode: exponentiation or root extraction. Enter the required values and click the 'Calculate' button. The calculator will automatically apply the appropriate formula and show the result.
Hopefully: 2³
Calculation: 2 × 2 × 2 = 8
2 to the power of 3 equals 8
Hopefully: ∛8
Calculation: 2³ = 8, поэтому ∛8 = 2
The cube root of 8 is 2
Fast and accurate calculations, support for powers and roots of any degree, clear interface, automatic application of mathematical formulas, results accurate to 6 decimal places.
Uses up-to-date mathematical formulas and ensures high accuracy of calculations
Supports powers and roots of any degree, including negative and fractional exponents
Shows formulas, step-by-step solutions and detailed calculation information
Ability to save results in various formats for future use
Make sure all values are correct. For powers, enter the base and exponent. For roots, enter the number and degree of the root. The result is displayed with high accuracy.
Select the 'Exponentiation' mode, enter the base and exponent, click 'Calculate'. For example, for 2³, enter base 2 and power 3.
Select the 'Root Extraction' mode, enter the number and degree of the root. For example, for ∛8, enter the number 8 and the root power 3.
Yes, the calculator supports negative powers. For example, 2⁻³ = 1/(2³) = 0.125.
The fractional power is equivalent to taking the root. For example, 8^(1/3) = ∛8 = 2.
The square root of a is the number that, when squared, gives a. For example, √9 = 3, since 3² = 9.
The cube root of a is the number that, when cubed, gives a. For example, ∛8 = 2, since 2³ = 8.
Only the odd root can be extracted from a negative number. An even root of a negative number does not exist in real numbers.
The calculator uses the formula aⁿ = a × a × ... × a (n times). For negative powers, the formula a⁻ⁿ = 1/aⁿ is used.
The calculator finds a number x such that xⁿ = a, where a is the radical number, n is the power of the root.
0 can be raised to any positive power, the result will be 0. 0⁰ is undefined.
Any number to the power of 0 is equal to 1 (except 0⁰). For example, 5⁰ = 1, 100⁰ = 1.
The calculator automatically processes numbers of any size. Just enter the number and the degree of the root.
Yes, the calculator supports decimals for both base and power or root.
The root of a fraction is equal to the root of the numerator divided by the root of the denominator. For example, √(4/9) = √4/√9 = 2/3.
Irrational roots are roots that cannot be represented as an ordinary fraction. For example, √2 ≈ 1.414.
Raise the result to the power of the root. If you get the original number, the calculation is correct. For example, ∛8 = 2, check: 2³ = 8.
Yes, the calculator supports roots of any degree, including very large exponents.
Exponents with a decimal exponent are calculated using logarithms. The calculator automatically handles such cases.
The nth root of a number is a number x such that xⁿ = a. Denoted as ⁿ√a or a^(1/n).
The calculator automatically processes numbers of any size. Just enter the base and degree.
Yes, the calculator is suitable for scientific and engineering calculations, providing high accuracy of calculations.
The root of a product is equal to the product of the roots. For example, √(a×b) = √a × √b.
An arithmetic root is a non-negative root value. For example, √9 = 3 (not -3).
The power of a product is equal to the product of powers. For example, (a×b)ⁿ = aⁿ × bⁿ.
Yes, the root of a degree is equal to the degree divided by the degree of the root. For example, √(aⁿ) = a^(n/2).
The degree of a root is equal to the root raised to a power. For example, (ⁿ√a)ᵐ = ⁿ√(aᵐ).
Complex roots appear when you take an even root from a negative number. The calculator shows the real part.
The root of the sum is not equal to the sum of the roots. For example, √(a+b) ≠ √a + √b.
Yes, the calculator is great for learning math, showing formulas and step-by-step solutions.
The root of the quotient is equal to the quotient of the roots. For example, √(a/b) = √a / √b.